A vector having a magnitude of 1 is a unit vector. A unit vector is also known as a direction vector. Learn how to calculate unit vector along with many examples.

Jul 23, 2025 · The unit vector of any given vector is the vector obtained by dividing the given vector by its magnitude. As the name suggests a unit vector is a vector whose magnitude is one (1).

Jun 19, 2023 · Unit vectors, also called direction vectors, are used to describe the direction of a given vector—or, the angle the vector makes on an x-axis. Unit vectors are marked with a cap symbol, …

A unit vector is often used to represent directions, such as normal directions. Unit vectors are often chosen to form the basis of a vector space, and every vector in the space may be written as a linear …

Nov 10, 2025 · The unit vector is a special type of vector defined by a single characteristic: its magnitude is precisely one unit. This standardized length makes the unit vector a powerful tool, as it strips away …

A vector has magnitude (how long it is) and direction: A Unit Vector has a magnitude of 1: A vector can be scaled off the unit vector.

Jun 20, 2025 · This revision note covers the magnitude and direction of vectors, and the meaning of a unit vector for A level maths.

By convention, a unit vector is indicated by a hat over a vector symbol. This may sound like a new concept, but it’s a simple one, directly related to the unit circle, the Pythagorean Theorem, and the …

A unit vector is a vector with magnitude 1. For any nonzero vector v, we can use scalar multiplication to find a unit vector u that has the same direction as v.

Any vector has an associated unit vector in the same direction but having a magnitude of one. Any vector can be expressed as a scalar multiple of its unit vector.